Rapid developments in system dynamics and control, areas closely related to many other topics in applied mathematics, call for a comprehensive presentation of current topics. This text, the second of two volumes, contains ten thematically organized research or pedagogical articles addressing key topics in applied dynamics. The material should be of interest to a general scientific and engineering readership, and is also mathematically precise enough to be a useful reference for research specialists in mechanics and control nonlinear dynamics, and in applied mathematics and physics.